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# Accession Number:

## AD0625897

# Title:

## UNIFIED APPROACH TO EXCITATION PROBLEMS IN COMPRESSIBLE PLASMA.

# Descriptive Note:

## Summary rept.,

# Corporate Author:

## MICHIGAN UNIV ANN ARBOR RADIATION LAB

# Report Date:

## 1965-11-01

# Pagination or Media Count:

##
227.0

# Abstract:

## This investigation is concerned primarily with the general, unified approach to the solution of excitation problems in a compressible plasma which may be inhomogeneous and include different types of sources, e.g. electric current source, magnetic current source, fluid approach is chosen and is based on the linearized Euler equations of motion and the Maxwell equations. The Maxwell-Euler equations are reformulated through linear operator and generalized transform techniques into an equivalent matrix integral equation, which can be solved recursively for a general linear plasma medium. When the medium is homogeneous, this integral equation has a degenerate kernel and the explicit solution can be easily obtained. A thorough study is given for the excitation of disturbances due to different types of sources in a homogeneous electron plasma externally impressed by a constant magnetic field. The dispersion relations for the three types of waves involved in an electron plasma are studied carefully and a proper terminology introduced. The radiation field is then solved for both two- and threedimensional excitation problems. Equivalence relations between different types of sources are also obtained. The numerical result shows that a large portion of energy radiation is in an acoustic type wave. Author

# Distribution Statement:

## APPROVED FOR PUBLIC RELEASE

#